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 },
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 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#%qtconsole"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.core.display import HTML\n",
      "def css_styling():\n",
      "    styles = open(\"styles/custom.css\", \"r\").read()\n",
      "    return HTML(styles)\n",
      "css_styling()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<style>\n",
        "    @font-face {\n",
        "        font-family: \"Computer Modern\";\n",
        "        src: url('http://mirrors.ctan.org/fonts/cm-unicode/fonts/otf/cmunss.otf');\n",
        "    }\n",
        "    div.cell{\n",
        "        width:800px;\n",
        "        margin-left:16% !important;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    h1 {\n",
        "        font-family: Helvetica, serif;\n",
        "    }\n",
        "    h4{\n",
        "        margin-top:12px;\n",
        "        margin-bottom: 3px;\n",
        "       }\n",
        "    div.text_cell_render{\n",
        "        font-family: Cambria,Computer Modern, \"Helvetica Neue\", Arial, Helvetica, Geneva, sans-serif;\n",
        "        line-height: 145%;\n",
        "        font-size: 130%;\n",
        "        width:800px;\n",
        "        margin-left:auto;\n",
        "        margin-right:auto;\n",
        "    }\n",
        "    .CodeMirror{\n",
        "            font-family:\"Aurulent Sans Mono\",\"Source Code Pro\", source-code-pro,Consolas, monospace;\n",
        "    }\n",
        "    .prompt{\n",
        "        display: None;\n",
        "    }\n",
        "    .text_cell_render h5 {\n",
        "        font-weight: 300;\n",
        "        font-size: 16pt;\n",
        "        color: #4057A1;\n",
        "        font-style: italic;\n",
        "        margin-bottom: .5em;\n",
        "        margin-top: 0.5em;\n",
        "        display: block;\n",
        "    }\n",
        "    \n",
        "    .warning{\n",
        "        color: rgb( 240, 20, 20 )\n",
        "        }  \n",
        "\n",
        "    BODY {background-color:#FBF5E6}\n",
        "\n",
        "</style>\n",
        "<script>\n",
        "    MathJax.Hub.Config({\n",
        "                        TeX: {\n",
        "                           extensions: [\"AMSmath.js\"]\n",
        "                           },\n",
        "                tex2jax: {\n",
        "                    inlineMath: [ ['$','$'], [\"\\\\(\",\"\\\\)\"] ],\n",
        "                    displayMath: [ ['$$','$$'], [\"\\\\[\",\"\\\\]\"] ]\n",
        "                },\n",
        "                displayAlign: 'center', // Change this to 'center' to center equations.\n",
        "                \"HTML-CSS\": {\n",
        "                    styles: {'.MathJax_Display': {\"margin\": 4}}\n",
        "                }\n",
        "        });\n",
        "</script>\n"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "<IPython.core.display.HTML at 0x5d6fb90>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import json\n",
      "s = json.load( open(\"styles/bmh_matplotlibrc.json\") )\n",
      "matplotlib.rcParams.update(s)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Buffon's Needle "
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The problem is to randomly drop a needle on the unit square and count the number of times that the needle touches (or \"cuts\") the edge of the square. This is a well-studied  problem, but instead of the usual tack of going directly for the analytical result (see appendix), we instead write a quick simulation that we'll later refine to obtain more precise results more efficiently. This methodology is common in Monte Carlo methods and we will work through this example in careful detail.\n",
      "\n",
      "Buffon's needle is a classic problem that is easy to understand, and complex enough to be characteristic of much more difficult problems encountered in practice. The overall idea is that when the problem is too complex to analyze analytically (at least in the general case), we write representative computer models that can drive a numerical solution and motivate analytical solutions, even if only on special cases. \n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Setting up the Simulation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The following code-block sets up the random needle position and orientation and creates the corresponding matplotlib primitives to be drawn in the figure. As shown, the simulation chooses a random center point for the needle in the unit square and then chooses a random angle $\\theta \\in (0,\\pi)$ as the needle's orientation. Because the needle pivots at its center, we only need $\\theta$ in this range."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import  division\n",
      "from matplotlib.lines import Line2D\n",
      "from matplotlib.patches import Rectangle\n",
      "\n",
      "def needle_gen(L=0.5):\n",
      "    '''Drops needle on unit square. Return dictionary describing needle position and \n",
      "    orientation. The `cut` key in the dictionary is True when the needle intersects \n",
      "    an edge of the unit square and is False otherwise.\n",
      "    \n",
      "    L := length of needle (default = 0.5)\n",
      "    '''\n",
      "    assert 0<L<1\n",
      "    xc,yc = rand(2) # uniform random in [0,1] for each coordinate dimension\n",
      "    ang = rand()*pi # uniform random angle in [0,pi]\n",
      "    x0,y0 = xc-L/2*cos(ang),yc-L/2*sin(ang) # coordinates for one end of needle \n",
      "    xe,ye = xc+L/2*cos(ang),yc+L/2*sin(ang) # coordinates for the other end\n",
      "    not_cut = (0<x0<1) and (0<y0<1) and (0<xe<1) and (0<ye<1)\n",
      "    return dict(x0=x0,y0=y0,xc=xc,yc=yc,xe=xe,ye=ye,ang=ang,cut=( not not_cut ))\n",
      "\n",
      "\n",
      "def draw_needle(ax,d):\n",
      "    '''\n",
      "    Draw needle symbol on given axis.\n",
      "    \n",
      "    If red, then the line cuts an edge of the unit square. If blue, then it does not. \n",
      "    One end of the needle is marked with a `o` symbol and the other end is unmarked. \n",
      "    \n",
      "    ax := matplotlib axes to draw needle symbol\n",
      "    d := dictionary output from needle_gen\n",
      "    '''\n",
      "    for i,j in d.iteritems(): exec('%s=%r'%(i,j)) # dump dictionary in local namespace\n",
      "    if cut: \n",
      "        line= [Line2D([x0,xe],[y0,ye],color='r',alpha=0.3), \n",
      "               Line2D([xc],[yc],marker='o',color='r')] \n",
      "    else:   \n",
      "        line= [Line2D([x0,xe],[y0,ye],alpha=0.3), \n",
      "               Line2D([xc],[yc],marker='o',alpha=0.3)] \n",
      "    for i in line: \n",
      "        ax.add_line(i)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, we can simulate the dropping event on the square (yellow background ). The red needles cut the edge of the square and the blue ones are completely contained therein. The circle marker shows the needle position."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "L=0.5\n",
      "\n",
      "samples = [needle_gen() for i in range(500)]\n",
      "\n",
      "def draw_sim(samples,L=0.5):\n",
      "    'Draw simulation results. Package this plot for reuse later'\n",
      "    fig,ax=subplots()\n",
      "    fig.set_size_inches(5,5)\n",
      "    \n",
      "    red_count=0\n",
      "    n=len(samples)\n",
      "    for k in samples:\n",
      "        red_count+=k['cut']\n",
      "        draw_needle(ax,k)\n",
      "        \n",
      "    ax.set_aspect(1) # set aspect ratio to 1\n",
      "    ax.add_patch(Rectangle((0,0),1,1,alpha=0.3,color='y')) # unit square background is light yellow\n",
      "    ax.set_xlabel('x-direction')\n",
      "    ax.set_ylabel('y-direction')\n",
      "    ax.axis([-.1,1.1,-.1,1.1]) # add some space around the unit square\n",
      "    ax.set_title(r'$\\mathbb{P}$ (cut)=%3.2f'% (red_count/n))\n",
      "    ax.grid()\n",
      "\n",
      "draw_sim(samples)    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Dl4FbXy8P0rlzqEyigGvPfmczvpCdGNmvxsZkEhcWzn34TFOSR0phTE6iXVdK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J+xsTZbWzESbDE/1Cb38CB9W6O6FiaoiRhaH0fwnc6/+tUx0uk+itLh0qUqkYjJ4WGI1dU4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\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d8uOUVUJjFvmlIAXNTU5Jk5roMjbWu2tJdZltWiVwmS3S6RYBuUlRNGk2fNh8Yc6/J0HX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\nIPDiOTzXh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TSVkut2C7pElZTMd+pJpbA6O9HTaaGColHw+9GSSZyKipu50GAQMplCVKWl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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5d6f6d0>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The figure above is a good visual check of our simulation and helps motivate our reasoning. Now, we want to concentrate on counting the number of cuts and then use that to estimate the probability of a cut."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,axs = subplots(1,2)\n",
      "fig.set_size_inches((12,2))\n",
      "ax=axs[0]\n",
      "samples=np.array([[needle_gen(L)['cut'] for i in range(300)] for k in range(100)])\n",
      "\n",
      "ax.plot(np.mean(samples,axis=1),'o-',alpha=0.3)\n",
      "ax.axis(xmax=samples.shape[0])\n",
      "ax.set_xlabel(r'$trial$',fontsize=18)\n",
      "ax.set_ylabel('$\\mathbb{\\hat{P}}(cut)$',fontsize=18)\n",
      "ax.set_title('$\\overline{\\mathbb{\\hat{P}}}(cut) = %3.3f,\\hat{\\sigma}=%3.3f$'%\n",
      "             (samples.mean(),(samples.mean(1)).std()))\n",
      "ax.grid()\n",
      "\n",
      "ax = axs[1]\n",
      "ax.hist( samples.mean(1));\n",
      "ax.set_title('Distribution of Mean Estimates');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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2hg4dirq6OgwfPhxTpkxx2JdCofRtbJIYwGzlwROA4wlYlgF31RaxpVAoFMqV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       "text": [
        "<matplotlib.figure.Figure at 0x732b230>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The figure above shows some statistical history of our Monte Carlo simulation. The `samples` array in the prior code-block is a 100x300 matrix of True/False values indicating cut or no-cut. The overall average of this array is our estimate of the probability of a cut. In other words, we count the number of cuts and divide by the total number of needle drops to obtain the estimated probability (approximately 55% in this case of $L=1/2$). The plot on the left shows the average across each of the 300 columns. Thus, there are 100 such column-wise averages (recall the `samples` matrix is 100x300). The title shows the estimated standard deviation across these 100 columnwise averages. \n",
      "\n",
      "The plot on the right shows a histogram of the column-wise averages. Why did we partition the simulated samples like this and compute column-wise instead of just using all the data at once? Because we want to get a sense of the spread of the estimates by computing the standard error. If we used all our samples at once, we would not be able to do this even though we'll still use our average of these averages to get our ultimate probability of a cut!\n",
      "\n",
      "Naturally, if we wanted to improve the standard deviation of our ensemble of columnwise means, we could simply run a larger simulation, but remember that the standard error only improves at the rate of $\\sqrt{N}$ (where $N$ is the number of samples) so we'd need a sample run *four* times as large to improve the standard error by a factor of *two*. Furthermore, we need to understand the mechanics of this problem better per unit of computing time."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Relative Errors and Using Weighting for Better Efficiency"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "There's nothing wrong with the way we have been using the simulation so far, but in the first figure all of those blue needles did not help us compute the probability we were after because they did not touch the edges of the square. Yes, we could reverse the reasoning and use the blue instead of the red for our estimation, but that does not escape the basic problem. For example, if the length of the needle were really short in comparison, then there would have been a lot of blue in our initial plot (try this using this IPython notebook!). In the extreme case, we could find ourselves in a situation where we run the simulation for a long time and not have a single cut! We want to use our valuable computer time to create samples that will improve our estimated solution.\n",
      "\n",
      "To recap, we computed a matrix of (100x300) cases of needle drops. Each of element of `samples` in the code above is a `True/False` value as to whether or not the needle touched the edge of the square. We averaged over the 300 columns to compute the estimated probability of a cut (the mean value of the boolean array in this case).  The estimated standard deviation is taken over the ensemble of these estimated means. \n",
      "\n",
      "A common way to evaluate the quality of the simulated result is to compute the *relative error*, which is the ratio of the estimated standard deviation of the mean to the estimated mean using *all* of the samples ($R_e$). This is computed in the title of the figure below."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,ax=subplots()\n",
      "fig.set_size_inches(12,2)\n",
      "ax.plot(samples.mean(1))\n",
      "ax.set_title(r'$\\hat{\\sigma}=%2.3f,R_e=%2.3f$'% (samples.mean(1).std(),samples.mean(1).std()/samples.mean()), fontsize=18)\n",
      "ax.set_xlabel('sample history index',fontsize=16)\n",
      "ax.set_ylabel('$\\mathbb{\\hat{P}}(cut)$',fontsize=18);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9chQ298KJS2FOpLfRbTgUxeZjdxRZTH/QqfZjyOrYR/BybRUr8LuDZThkQuNq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\nqG7l5kR3nbLZiwx9F411bQrIFCo42PD1dh42RqTGb4G5GLJ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YgRkzZmit07wYWLFiBVas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VAoFIoVQzPsFAqFQqFQKBSKFUMDdgqFQqFQKBQKxYqhATuFQqFQKBQKhWLF0ICdQqFQKBQKhUKx\nYmjATqFQKBQKhUKhWDE0YKdQKBQKhUKhUKyY/wc07oz7WUb+ywAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5e16cb0>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "So far, our relative error is pretty good (the rule of thumb is below 5%), but let's see how we do when the needle length is smaller? The code-block below draws the corresponding figure for the simulation for this case."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "L=0.1\n",
      "\n",
      "samples_d=[needle_gen(L) for i in range(300*100)]\n",
      "samples = np.array([k['cut'] for k in samples_d]).reshape(100,300)\n",
      "\n",
      "def draw_sample_history(samples):\n",
      "    fig,ax=subplots()\n",
      "    fig.set_size_inches(12,2)\n",
      "    mn = samples.mean(1)\n",
      "    ax.plot(mn)\n",
      "    ax.set_title(r'$\\hat{\\sigma}=%2.3f,R_e=%2.3f$'% (mn.std(),\n",
      "                                                     mn.std()/mn.mean()), fontsize=18)\n",
      "    ax.set_xlabel('sample history index',fontsize=16)\n",
      "    ax.set_ylabel('$\\mathbb{\\hat{P}}(cut)$',fontsize=18);\n",
      "\n",
      "draw_sample_history(samples)    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nmZ8pNZfWEQDCvGng6WDGaoNdLpfjoYcegr+/PzIzM7F+/XrMmDED/v7+PbzY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       "text": [
        "<matplotlib.figure.Figure at 0x5e0e910>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The figure above shows that for shorter needles, we did *not* do so well for relative error. This situation is illustrated in the figure below."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "draw_sim(samples_d[:500])   "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SYXzcRUNDBq93+bG709N2enshm7Xc1ebmTNllVZRX+EZVZAy/GzGeQZxJY4QX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Tznz2fZ2PBQKAgb11rNzuBgZY8l7c4Jvc0Gs7MhKpVNPve5ArlckI0NNwMDe593WOycWEOmNb13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       "text": [
        "<matplotlib.figure.Figure at 0x75e7770>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The figure shows there are very few cuts in our simulation with the short needle (red needles). To remedy this, we can alter the code to bias for randomly generating x-coordinates that are within needle length of an edge instead of uniformly random in the unit interval.  The code-block below makes this change for the x-coordinate."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def needle_gen_b(L=0.5):\n",
      "    '''Drops needle on unit square using a biased strategy. Return dictionary describing \n",
      "    needle position and orientation. The `cut` key in the dictionary is True when the\n",
      "    needle intersects an edge of the unit square and is False otherwise.\n",
      "    \n",
      "    L := length of needle (default = 0.5)\n",
      "    '''\n",
      "    assert 0<L<1\n",
      "    yc = rand() # uniform on unit interval\n",
      "    r = L*rand()/2.\n",
      "    xc = r if rand()<0.5 else (1-r) # pick either edge 50/50\n",
      "    ang = rand()*pi # uniform random angle in [0,pi]\n",
      "    x0,y0 = xc-L/2*cos(ang),yc-L/2*sin(ang) # coordinates for one end of needle \n",
      "    xe,ye = xc+L/2*cos(ang),yc+L/2*sin(ang) # coordinates for the other end\n",
      "    not_cut = (0<x0<1) and (0<y0<1) and (0<xe<1) and (0<ye<1)\n",
      "    return dict(x0=x0,y0=y0,xc=xc,yc=yc,xe=xe,ye=ye,ang=ang,cut=( not not_cut ))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, we re-run this simulation using this biased method."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "samples_b=[needle_gen_b(L) for i in range(300*100) ] # create biased samples\n",
      "draw_sim(samples_b[:500])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VlM/njNl6n06knh7kcJh/W72Q25/bxnt3tlMAzAD+GeP55K0Yi82vHNX2g8Cd4QTZ+jL0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\n0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UQ8dAjD40FrasKorrayBy0ITifqjTdie+IJZg4fIz5dQYHrKaIwS5bn6OJaTp4Ty3w8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\nhG72UM0NqJedC+UQQ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       "text": [
        "<matplotlib.figure.Figure at 0x918b970>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The figure above shows that the samples are now clustered at both vertical edges, and, compared with the unbiased simulation, there are more red needles, indicating that we now have more relevent samples.\n",
      "\n",
      "The next figure shows the sample history and relative error which is now **much** better than before."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "no_bias_samples = samples # save for later\n",
      "samples = np.array([k['cut'] for k in samples_b]).reshape(100,300)\n",
      "\n",
      "draw_sample_history(samples);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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11dE0/nW8AcdqxRDyOdgwPwm5qSF4ae44fPdQJl6YHY/pcX6gAFR390PApfCn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\ntJsBy7p0ZQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa4fccf0>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, that we have a tighter result, we need to make sure we have not changed the result by correcting for the bias we introduced. The probability of being near the edges in the x-direction is $2 L$. We have to multiply our estimated probability by this *weighting* factor."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig,ax=subplots()\n",
      "fig.set_size_inches(10,3)\n",
      "ax.hist(no_bias_samples.mean(1),alpha=0.3,normed=1,label='unbiased')\n",
      "ax.hist(samples.mean(1)*2*L,alpha=0.3,normed=1,label='biased')\n",
      "ax.legend(loc=0)\n",
      "ax.set_title('Biased samples more efficiently produce useful samples')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<matplotlib.text.Text at 0x82697f0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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HeHg4PDw8ADwp1AICAtR/+ZT22bNtuHZSUhJmzpxZZ+JpCO3SaXUlnobQfjb3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\nERERERkICysiIiIiA/l/Sgx8zlsm+3EAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x5e0ea10>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The histogram above shows the spread of the biased samples is much tighter than before, which is what the relative error we just computed is getting at. Still, it's good to back this up with a quick plot."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Summary"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this section, we illustrated some basic concepts of Monte Carlo methods by examing the famous problem of Buffon's needle. We showed how to code up a quick simulation that visually reveals the key issues and then how to boil this down into a simulation to compute the estimated solution. We also showed how to create biased samples to improve the overall efficiency and precision of our result.\n",
      "\n",
      "I carefully used the word [*precision*](https://en.wikipedia.org/wiki/Accuracy_and_precision) as opposed to *accuracy* because we have created a tighter estimate (as measured by relative error), but how do we know that this is the *correct* (i.e. accurate) answer? We don't! In this case, we can solve for the analytical solution (shown in the appendix), but in general, this is *way* too hard to do, otherwise we wouldn't bother with the simulation in the first place.\n",
      "\n",
      "The reality is that we have to do what we can using Monte Carlo methods and then carefully consider their computed results using as much domain knowledge as we can muster. In this section, we made the extra effort to generate some visual results along the way as a sanity-check and doing so is *always* worth the extra effort, when feasible. Furthermore, this kind of intermediate result can sometimes suggest a narrow special case for which we *can* generate a related analytical solution that we can use to further develop our simulation.\n",
      "\n",
      "As usual, the IPython Notebook corresponding to this section is available for download [here](http://github.com/unpingco/Pig-in-the-Python/blob/master/Buffons_Needle_Sim.ipynb). Play around with the various parameters as suggested above on your own to see what else you can discover about this famouse problem."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Appendix: Analytical Results"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In this appendix, we carefully derive the analytical solution for our problem using excessive detail. Note that $x_c$ is the needle's center. The needle is entirely contained in the square (at least in the x-direction) when the following two conditions hold:\n",
      "\n",
      "$$ 0 < x_c - L/2 \\cos(\\theta) < 1 $$\n",
      "\n",
      "$$ 0 < x_c + L/2 \\cos(\\theta) < 1 $$\n",
      "\n",
      "combining these two into one big inequality gives:\n",
      "\n",
      "$$ \\max(-L/2 \\cos(\\theta) , L/2 \\cos(\\theta) ) <  x_c < \\min(1-L/2 \\cos(\\theta) , 1+L/2 \\cos(\\theta) )$$\n",
      "\n",
      "In the case where $0< \\theta < \\pi/2 $, we additionally have the following:\n",
      "\n",
      "$$  L/2 \\cos(\\theta)  <  x_c < 1-L/2 \\cos(\\theta) $$\n",
      "\n",
      "Because $\\theta$ is uniformly distributed between $0$ and $\\pi$, for this domain of $\\theta$ and $x_c$, we have the probability of the needle being contained completely in the square (in the x-direction) as the following:\n",
      "\n",
      "$$ \\frac{1}{\\pi}\\int_0^{\\pi/2} \\int_{L/2 \\cos(\\theta)}^{1-L/2 \\cos(\\theta)} dx_c d\\theta = \\frac{1}{\\pi}\\int_0^{\\pi/2} 1-L \\cos(\\theta) d\\theta = \\frac{1}{2} - \\frac{L}{\\pi} $$ \n",
      "\n",
      "Now, we can consider the other half of the domain of $\\theta$, $ \\pi/2 < \\theta < \\pi $, where we have\n",
      "\n",
      "$$  -L/2 \\cos(\\theta)  <  x_c < 1+L/2 \\cos(\\theta)$$\n",
      "\n",
      "Then, following the same reasoning as before we obtain:\n",
      "\n",
      "$$ \\frac{1}{\\pi}\\int_{\\pi/2}^{\\pi} \\int_{-L/2 \\cos(\\theta)}^{1+L/2 \\cos(\\theta)} dx_c d\\theta = \\frac{1}{\\pi}\\int_{\\pi/2}^{\\pi} 1+L \\cos(\\theta) d\\theta = \\frac{1}{2} - \\frac{L}{\\pi} $$ \n",
      "\n",
      "Thus, combining these two results gives the probability of the needle **not**  cutting the edge in the x-direction as the following:\n",
      "\n",
      "$$ \\mathbb{P}(\\text{no x-cut}) = 1 - \\frac{2 L}{\\pi}$$\n",
      "Now, we can pursue exactly the same line of reasoning for the y-direction, or, just recognize that by symmetry it would be exactly the same as for the x-direction.  Nonetheless, let's be thorough and reproduce the reasoning for the y-direction, just to be on the safe side.\n",
      "\n",
      "As before, the condition in the y-direction for the needle being entirely contained in the square in the y-direction is the following:\n",
      "\n",
      "$$ \\max(-L/2 \\sin(\\theta) , L/2 \\sin(\\theta) ) <  y_c < \\min(1-L/2 \\sin(\\theta) , 1+L/2 \\sin(\\theta) )$$\n",
      "\n",
      "which can be combined into one big inequality, given the restrictions on $\\theta \\in (0,\\pi)$ as shown:\n",
      "\n",
      "$$  L/2 \\sin(\\theta) <  y_c < 1-L/2 \\sin(\\theta) $$\n",
      "\n",
      "Then, integrating this out as before, we obtain\n",
      "\n",
      "$$ \\frac{1}{\\pi}\\int_0^{\\pi} \\int_{L/2 \\sin(\\theta)}^{1-L/2 \\sin(\\theta)} dy_c d\\theta = \\frac{1}{\\pi}\\int_0^{\\pi} 1-L \\sin(\\theta) d\\theta = 1 - \\frac{2 L}{\\pi} $$ \n",
      "\n",
      "$$ \\mathbb{P}(\\text{no y-cut}) = 1 - \\frac{2 L}{\\pi}$$\n",
      "\n",
      "which is exactly what we got for the x-direction. It's usually worth the extra work to check things like this instead of trying to be too clever too early.\n",
      "\n",
      "Then, combining the x-direction and y-direction results, we obtain,\n",
      "\n",
      "$$ \\mathbb{P}(\\text{no cut}) = \\left(1 - \\frac{2 L}{\\pi}\\right)^2$$\n",
      "\n",
      "so that\n",
      "\n",
      "$$ \\mathbb{P}(\\text{cut}) =1-\\mathbb{P}(\\text{no cut}) = 1-\\left(1 - \\frac{2 L}{\\pi}\\right)^2$$\n",
      "\n",
      "which we code next."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "prob_cut= lambda l:(1-(1-2*l/pi)**2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can use this result later to check or Monte Carlo estimates. Try it!"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}